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{:[f(x)=3x-5x^(2)-x^(3)],[g(x)=6x^(2)-4x]:}

{: \begin{align*} &f(x)=3x-5x^{2}-x^{3},\ &g(x)=6x^{2}-4x \end{align*} :}

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Find higher derivatives of rational and radical functionsright chevron icon

Full solution

Q. {: \begin{align*} &f(x)=3x-5x^{2}-x^{3},\ &g(x)=6x^{2}-4x \end{align*} :}
  1. Identify Functions: Identify the functions to be added: f(x)=3x−5x2−x3f(x) = 3x - 5x^2 - x^3 g(x)=6x2−4xg(x) = 6x^2 - 4x
  2. Add Functions Together: Add the functions together by combining like terms:\newlineSum = f(x)+g(x)=(3x−5x2−x3)+(6x2−4x)f(x) + g(x) = (3x - 5x^2 - x^3) + (6x^2 - 4x)\newline = −x3+(6x2−5x2)+(3x−4x)-x^3 + (6x^2 - 5x^2) + (3x - 4x)\newline = −x3+x2−x-x^3 + x^2 - x

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